CBSE Questions for Class 8 Maths Algebraic Expressions And Identities Quiz 6 - MCQExams.com

Find the missing term in the following problem.
$$\displaystyle {\left (\frac{3x}{4}\, -\, \frac{4y}{3} \right )^2\, =\, \frac{9x^2}{16}\, +\, .........\, +\, \frac{16y^2}{9}}$$
  • $$2xy$$
  • $$-2xy$$
  • $$12xy$$
  • $$-12xy$$
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively
$$(p, q); (10m, 5n); (20x^2, 5y^2); (4x, 3x^2); (3mn, 4np)$$
  • $$100x^2y^2 ;12x^3 ; 12mn^2p$$
  • $$100x^2y^2 ;12x^2 ; 12mn^2p$$
  • $$100x^2y ;12x^3 ; 12mn^2p$$
  • $$100x^2y^2 ;12x^3 ; 12mnp$$
Multiply the binomials $$(2x + 5)$$ and $$(4x - 3)$$
  • $$  8x^2+ 14x -15$$
  • $$  7x^2-14x -15$$
  • $$ x^2+ 14x -18$$
  • None of these
Obtain the product of: $$rn, -mn, mnp$$
  • $$-m^3n^3p$$
  • $$-m^2n^2p$$
  • $$m^2n^2p$$
  • $$-m^3n^2p$$
Using identities, evaluate $$8.9^2$$.
  • $$74.53$$
  • $$73.42$$
  • $$79.21$$
  • $$73.21$$
Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
$$a, 2b, 3c$$
  • $$6abc$$
  • $$3ab$$
  • $$2abc$$
  • $$9ac$$
Obtain the product of $$xy, yz, zx$$.
  • $$x^2y^2z^3$$
  • $$x^2y^2z^2$$
  • $$2x^2y^2z^2$$
  • $$2x^2y^2z^3$$
Carry out the multiplication of the expressions in the following pair:
$$a^2 -9, 4a$$
  • $$ a^3 -12a$$
  • $$ 4a^3 -22a$$
  • $$ a^3 -16$$
  • $$ 4a^3 -36a$$
Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
$$ 5a, 3a^2, 7a^4$$
  • $$102a^7$$
  • $$105a^7$$
  • $$192a^7$$
  • $$606a^7$$
Simplify: $$(7m -8n)^2 + (7m + 8n)^2$$.
  • $$49m^2+164n^2$$
  • $$98m^2+128n^2$$
  • $$49m^2+64n^2$$
  • $$128m^2+64n^2$$
Using identities, evaluate $$5.2^2$$.
  • $$26.04$$
  • $$2704$$
  • $$27.04$$
  • $$2604$$
The product of (x -y) and (y -x) is equal to
  • $$x^2+y^2 -2xy$$
  • $$2xy + x^2+y^2$$
  • $$2xy-x^2-y^2$$
  • $$x^2-2xy+y^2$$
The product of (2x + 3) and (3x + 2) is equal to
  • $$6x^2+6$$
  • $$6x^2+5x+6$$
  • $$6(x^2+x+1)$$
  • $$6x^2+13x+6$$
Using $$(x + a) (x + b) = x^2+(a+b)x+ab$$, find $$5.1 \times 5.2$$.
  • $$17.61$$
  • $$22.41$$
  • $$13.32$$
  • $$26.52$$
Using identities, evaluate $$12.1^2 -7.9^2$$.
  • $$84$$
  • $$72$$
  • $$69$$
  • $$87$$
The value of $$(x + 3y)^2 + (x - 3y)^2$$ is:
  • $$2x^2 + 18 y^2$$
  • $$2x^2 - 18 y^2$$
  • $$2x^2 + 18y^2 - 2xy$$
  • None of these
Using $$(x + a) (x + b) = x^2+(a+b)x+ab$$, find $$103 \times 104$$.
  • $$14982$$
  • $$11992$$
  • $$10712$$
  • $$11482$$
Simplify: $$(x + 5)(x + 4)$$
  • $$x^2+27x+20$$
  • $$x^2+9x+20$$
  • $$x^2+18x+20$$
  • $$x^2+x+20$$
$$(x + 2)(x + 3) -(x + 3)(x -2)=$$
  • 12
  • 0
  • 6x
  • 4x+12
Find the product of $$\left( 3x-5 \right)$$ and $$\left( x+5 \right) $$.
  • $${ x }^{ 2 }-25x+10$$
  • $${ x }^{ 2 }+10x-22$$
  • $$3{ x }^{ 2 }+10x-25$$
  • $$3{ x }^{ 2 }-22x-25$$
$$(a -b)^2 -(a + b)^2$$ is equal to:
  • $$2ab$$
  • $$4ab$$
  • $$6ab$$
  • $$-4ab$$
$$(3x+2y)(x+y)$$
  • $$3x^2+y^2+5xy$$
  • $$3x^2+2y^2+5xy$$
  • $$3x^2+2y^2+6xy$$
  • $$3x^2+2y+5xy$$
The product of a monomial and a trinomial is a
  • monomial
  • binomial
  • trinomial
  • none of these
Find the value of $$1.03^2$$ using identity.
  • $$1.0409$$
  • $$1.0609$$
  • $$1.0009$$
  • $$1.0309$$
$$3x \times (4x + 2)$$
  • $$12x^{2} + 6x$$
  • $$6 (2x^{2} + x)$$
  • $$x (12x + 6)$$
  • All of the above
$$(4x + 1)(4x - 1) =$$
  • $$16x^{2} + 8x + 2$$
  • $$16x^{2} + 8x + 1$$
  • $$16x^{2} - 1$$
  • $$16x^{2} + 1$$
$$-2x\times 10y\times -3z=$$
  • $$-60xyz$$
  • $$60xz$$
  • $$-60xz$$
  • $$60xyz$$
$$-8yz\times -2xy=$$
  • $$16xyz$$
  • $$-16xy^2z$$
  • $$16xy^2z$$
  • $$-16x^2y^2z^2$$
$$2xy\times 7yz\times 9xz$$
  • $$126xyz$$
  • $$126x^2y^2z^2$$
  • $$126xyz^2$$
  • $$126x^2yz^2$$
Find the product of $$x^2yz\times xy^2z^3$$.
  • $$x^3y^3z^4$$
  • $$x^3y^3z^3$$
  • $$x^3y^4z^3$$
  • $$x^3y^3z$$
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